Finding the Fourth Proportional to 820.27, 1,131.94 and 488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   820.27 : 1,131.94 = 488.50 : x
2. Step 2: Convert to fraction form
   820.27/1,131.94 = 488.50/x
3. Step 3: Cross multiply
   820.27x = 1,131.94 × 488.50
4. Step 4: Simplify right side
   820.27x = 552,952.69
5. Step 5: Solve for x
   x = 552,952.69/820.27
6. Step 6: Final answer
   x = 674.11